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51.

Beidar, K.I.; Chebotar, M.A.: On functional identities and d-free subsets of rings. II. (English). - [J] Commun. Algebra 28, No.8, 3953-3972 (2000). [ISSN 0092-7872; ISSN 1532-4125]
Matej Brešar, 2002, review, book review, critique

Published in DKUM: 10.07.2015; Views: 361; Downloads: 30
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52.

Beidar, K.I.; Chebotar, M.A.: On functional identities and d-free subsets of rings. I. (English). - [J] Commun. Algebra 28, No.8, 3925-3951 (2000). [ISSN 0092-7872; ISSN 1532-4125]
Matej Brešar, 2002, review, book review, critique

Published in DKUM: 10.07.2015; Views: 562; Downloads: 46
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53.

Aizpuru, A.(E-CAD); Tamayo, M.(E-CAD): Linear bijections which preserve the diameter of vector-valued maps. (English summary). - Linear Algebra Appl. 424 (2007), no. 2-3, 371--377
Matej Brešar, 2008, review, book review, critique

Published in DKUM: 10.07.2015; Views: 400; Downloads: 43
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54.

Lu, Fangyan(PRC-SOO): Lie triple derivations on nest algebras. (English summary). - Math. Nachr. 280 (2007), no. 8, 882--887
Matej Brešar, 2008, review, book review, critique

Published in DKUM: 10.07.2015; Views: 426; Downloads: 36
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55.

Jordan homomorphisms revisited
Matej Brešar, 2008, original scientific article

Abstract: Naj bo ▫$theta$▫ jordanski homomorfizem iz algebre ▫$A$▫ v algebro ▫$B$▫. Poiskani so različni pogoji, iz katerih sledi, da je zožitev ▫$theta$▫ na komutatorski ideal ▫$A$▫ vsota homomorfizma in antihomomorfizma. Algebraični rezultati, dobljeni v prvem delu članka, so uporabljeni v drugem delu, ki obravnava primer, ko sta ▫$A$▫ in ▫$B$▫ ▫$C^ast$▫-algebri.
Keywords: matematika, algebra, jordanski homomorfizem, algebra, ▫$C^ast$▫-algebra, mathematics, algebra, Jordan homomorphism, algebra, ▫$C^ast$▫-algebra
Published in DKUM: 10.07.2015; Views: 945; Downloads: 89
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56.

Commutativity preserving maps revisited
Matej Brešar, 2007, original scientific article

Abstract: K. I. Beidar in Y.-F. Lin sta dokazala, da je pod določenimi pogoji linearni ohranjevalec komutativnosti med (jordanskima) algebrama ▫$mathcal{A}$▫ in ▫$mathcal{Q}$▫ standardne oblike, razen če preslikava določeno (običajno "veliko") podmnožico ▫$mathcal{A}$▫ slika v center ▫$mathcal{Q}$▫. Ta rezultat dopolnimo z ugotovitvijo, da ta množica pogosto vsebuje neničelni ideal. To nam omogoči podati dokončen rezultat o ohranjevalcih komutativnosti na enostavnih kolobarjih, kot tudi na prakolobarjih, če predpostavimo ohranjanje komutativnosti v obeh smereh.
Keywords: matematika, algebra, ohranjevalec komutativnosti, funkcijska identiteta, jordanski kolobar, prakolobar, involucija, mathematics, algebra, functional identity, commutativity preserving map, Jordan ring, prime ring, involution
Published in DKUM: 10.07.2015; Views: 1146; Downloads: 97
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57.

Ma, Fei(PRC-SHNX-CMI); Ji, Guoxing(PRC-SHNX-CMI): Generalized Jordan derivations on triangular matrix algebras. (English summary). - Linear Multilinear Algebra 55 (2007), no. 4, 355--363
Matej Brešar, 2008, review, book review, critique

Published in DKUM: 10.07.2015; Views: 521; Downloads: 34
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58.

Zhu, Jun(PRC-HZDZ-IM); Xiong, Changping(PRC-HZDZ-IM): Derivable mappings at unit operator on nest algebras. (English summary). - Linear Algebra Appl. 422 (2007), no. 2-3, 721--735
Matej Brešar, 2008, review, book review, critique

Published in DKUM: 10.07.2015; Views: 489; Downloads: 26
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59.

Hatori, Osamu(J-NIGATS); Miura, Takeshi(J-YAMATS-AM); Takagi, Hiroyuki(J-SHINSS): Unital and multiplicatively spectrum-preserving surjections between semi-simple commutative Banach algebras are linear and multiplicative. (English summary). - J. Math. Anal. Appl. 326 (2007), no. 1, 281--296
Matej Brešar, 2007, review, book review, critique

Published in DKUM: 10.07.2015; Views: 650; Downloads: 39
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60.

Molnár, L.(H-LAJO-IF): Selected preserver problems on algebraic structures of linear operators and on function spaces. - Lecture Notes in Mathematics, 1895. Springer-Verlag, Berlin, 2007. xiv+232 pp. ISBN: 978-3-540-39944-5; 3-540-39944-5
Matej Brešar, 2007, review, book review, critique

Published in DKUM: 10.07.2015; Views: 1086; Downloads: 40
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